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Mihnea Popa Office: Lunt 210 Tel: 847-491-5576 email: mpopa@math.northwestern.edu |
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| Recommended texts. I will not use any particular text, but the following books are useful: A. Beauville “Complex Algebraic Surfaces", R. Lazarsfeld "Positivity in Algebraic Geometry", J. Kollár and S. Mori "Birational Geometry of Algebraic Varieties", H. Esnault and E. Viehweg "Lectures on Vanishing Theorems". |
| Brief course description: The goal of the course is to use the Kodaira classification of algebraic varieties as motivation for introducing a number of key tools in Algebraic Geometry: intersection numbers, Riemann-Roch theorems, singularities, positivity, and vanishing theorems. I will use all of this material to explain results and conjectures regarding the Kodaira dimension of a smooth projective variety, focusing on Iitaka's conjecture about its subadditivity in families. |
| This is not required, but I encourage you to turn in solutions to the various exercises I will include in the lectures. |